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Finding the Fourth Proportional to 6,419.79, 9,615.68 and 3,947.12

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Solution

The fourth proportional to 6,419.79, 9,615.68 and 3,947.12 is: 5,912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.79 : 9,615.68 = 3,947.12 : x
  2. Step 2: Convert to fraction form
    6,419.79/9,615.68 = 3,947.12/x
  3. Step 3: Cross multiply
    6,419.79x = 9,615.68 × 3,947.12
  4. Step 4: Simplify right side
    6,419.79x = 37,954,175.03
  5. Step 5: Solve for x
    x = 37,954,175.03/6,419.79
  6. Step 6: Final answer
    x = 5,912.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.